2090144 has 72 divisors (see below), whose sum is σ = 5056128. Its totient is φ = 846720.

The previous prime is 2090131. The next prime is 2090147. The reversal of 2090144 is 4410902.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2090147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48587 + ... + 48629.

It is an arithmetic number, because the mean of its divisors is an integer number (70224).

2^2090144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2090144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528064).

2090144 is an abundant number, since it is smaller than the sum of its proper divisors (2965984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2090144 is a wasteful number, since it uses less digits than its factorization.

2090144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2090144 is about 1445.7330320637. The cubic root of 2090144 is about 127.8572627629.

The spelling of 2090144 in words is "two million, ninety thousand, one hundred forty-four".